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Finding the Fourth Proportional to 1,025.65, 1,416.70 and 860.71

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Solution

The fourth proportional to 1,025.65, 1,416.70 and 860.71 is: 1,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.65 : 1,416.70 = 860.71 : x
  2. Step 2: Convert to fraction form
    1,025.65/1,416.70 = 860.71/x
  3. Step 3: Cross multiply
    1,025.65x = 1,416.70 × 860.71
  4. Step 4: Simplify right side
    1,025.65x = 1,219,367.86
  5. Step 5: Solve for x
    x = 1,219,367.86/1,025.65
  6. Step 6: Final answer
    x = 1,188.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.